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14140022304 = 253292434073
BaseRepresentation
bin11010010101100111…
…11001111000100000
31100111102221120001210
431022303321320200
5212424321203204
610255033430120
71010255130552
oct151263717040
940442846053
1014140022304
115aa6746051
1228a756b340
131444626405
14981d254d2
1557b591389
hex34acf9e20

14140022304 has 144 divisors (see below), whose sum is σ = 39345257952. Its totient is φ = 4443887616.

The previous prime is 14140022291. The next prime is 14140022381. The reversal of 14140022304 is 40322004141.

14140022304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3469612 + ... + 3473684.

It is an arithmetic number, because the mean of its divisors is an integer number (273230958).

Almost surely, 214140022304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14140022304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672628976).

14140022304 is an abundant number, since it is smaller than the sum of its proper divisors (25205235648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14140022304 is a wasteful number, since it uses less digits than its factorization.

14140022304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14140022304 its reverse (40322004141), we get a palindrome (54462026445).

The spelling of 14140022304 in words is "fourteen billion, one hundred forty million, twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 43 48 58 86 87 96 116 129 172 174 232 258 344 348 464 516 688 696 841 928 1032 1247 1376 1392 1682 2064 2494 2523 2784 3364 3741 4073 4128 4988 5046 6728 7482 8146 9976 10092 12219 13456 14964 16292 19952 20184 24438 26912 29928 32584 36163 39904 40368 48876 59856 65168 72326 80736 97752 108489 118117 119712 130336 144652 175139 195504 216978 236234 289304 350278 354351 391008 433956 472468 525417 578608 700556 708702 867912 944936 1050834 1157216 1401112 1417404 1735824 1889872 2101668 2802224 2834808 3425393 3471648 3779744 4203336 5079031 5604448 5669616 6850786 8406672 10158062 10276179 11339232 13701572 15237093 16813344 20316124 20552358 27403144 30474186 40632248 41104716 54806288 60948372 81264496 82209432 109612576 121896744 147291899 162528992 164418864 243793488 294583798 328837728 441875697 487586976 589167596 883751394 1178335192 1767502788 2356670384 3535005576 4713340768 7070011152 14140022304